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Proceedings Article

Louis Leon Thurstone in Monte Carlo: creating error bars for the method of paired comparison

[+] Author Affiliations
Ethan D. Montag

Rochester Institute of Technology (USA)

Proc. SPIE 5294, Image Quality and System Performance, 222 (December 19, 2003); doi:10.1117/12.526215
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From Conference Volume 5294

  • Image Quality and System Performance
  • Yoichi Miyake; D. Rene Rasmussen
  • San Jose, CA | January 18, 2004

abstract

The method of paired comparison is often used in experiments where perceptual scale values for a collection of stimuli are desired, such as in experiments analyzing image quality. Thurstone's Case V of his Law of Comparative Judgments is often used as the basis for analyzing data produced in paired comparison experiments. However, methods for determining confidence intervals and critical distances for significant differences based on Thurstone's Law have been elusive leading some to abandon the simple analysis provided by Thurstone's formulation. In order to provide insight into this problem of determining error, Monte Carlo simulations of paired comparison experiments were performed based on the assumptions of uniformly normal, independent, and uncorrelated responses from stimulus pair presentations. The results from these multiple simulations show that the variation in the distribution of experimental results of paired comparison experiments can be well predicted as a function of stimulus number and the number of observations. Using these results, confidence intervals and critical values for comparisons can be made using traditional statistical methods. In addition the results from simulations can be used to analyze goodness-of-fit techniques.

© (2003) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

Ethan D. Montag
"Louis Leon Thurstone in Monte Carlo: creating error bars for the method of paired comparison", Proc. SPIE 5294, Image Quality and System Performance, 222 (December 19, 2003); doi:10.1117/12.526215; http://dx.doi.org/10.1117/12.526215


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